Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1388 and 1396 the smallest integer that is 484412 that is divisible by both numbers.
Least Common Multiple (LCM) of 1388 and 1396 is 484412.
LCM(1388,1396) = 484412
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 1388 and 1396. First we will calculate the prime factors of 1388 and 1396.
Prime Factorization of 1388
2 | 1388 |
2 | 694 |
347 | 347 |
1 |
Prime factors of 1388 are 2,347. Prime factorization of 1388 in exponential form is:
1388 = 22×3471
Prime Factorization of 1396
2 | 1396 |
2 | 698 |
349 | 349 |
1 |
Prime factors of 1396 are 2,349. Prime factorization of 1396 in exponential form is:
1396 = 22×3491
Now multiplying the highest exponent prime factors to calculate the LCM of 1388 and 1396.
LCM(1388,1396) = 22×3471×3491
LCM(1388,1396) = 484412
Factors of 1388
List of positive integer factors of 1388 that divides 1388 without a remainder.
1, 2, 4, 347, 694, 1388
Factors of 1396
List of positive integer factors of 1396 that divides 1396 without a remainder.
1, 2, 4, 349, 698, 1396
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1388 and 1396, than apply into the LCM equation.
GCF(1388,1396) = 4
LCM(1388,1396) = ( 1388 × 1396) / 4
LCM(1388,1396) = 1937648 / 4
LCM(1388,1396) = 484412
(i) The LCM of 1396 and 1388 is associative
LCM of 1388 and 1396 = LCM of 1396 and 1388
1. What is the LCM of 1388 and 1396?
Answer: LCM of 1388 and 1396 is 484412.
2. What are the Factors of 1388?
Answer: Factors of 1388 are 1, 2, 4, 347, 694, 1388. There are 6 integers that are factors of 1388. The greatest factor of 1388 is 1388.
3. What are the Factors of 1396?
Answer: Factors of 1396 are 1, 2, 4, 349, 698, 1396. There are 6 integers that are factors of 1396. The greatest factor of 1396 is 1396.
4. How to Find the LCM of 1388 and 1396?
Answer:
Least Common Multiple of 1388 and 1396 = 484412
Step 1: Find the prime factorization of 1388
1388 = 2 x 2 x 347
Step 2: Find the prime factorization of 1396
1396 = 2 x 2 x 349
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 484412 = 2 x 2 x 347 x 349
Step 4: Therefore, the least common multiple of 1388 and 1396 is 484412.